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Finding the Fourth Proportional to 844.20, 1,165 and 471.18

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Solution

The fourth proportional to 844.20, 1,165 and 471.18 is: 650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.20 : 1,165 = 471.18 : x
  2. Step 2: Convert to fraction form
    844.20/1,165 = 471.18/x
  3. Step 3: Cross multiply
    844.20x = 1,165 × 471.18
  4. Step 4: Simplify right side
    844.20x = 548,924.70
  5. Step 5: Solve for x
    x = 548,924.70/844.20
  6. Step 6: Final answer
    x = 650.23

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.